Details

Time bar (total: 2.7s)

sample1.2s

Algorithm
intervals
Results
347.0ms81×body2560valid
332.0ms110×body1280valid
251.0ms36×body5120valid
192.0ms90×body640valid
38.0ms30×body320valid
18.0ms49×body80valid
12.0ms16×body160valid

simplify264.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
263.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.2b

localize66.0ms

Local error

Found 4 expressions with local error:

32.7b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
4.5b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.2b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
4482×times-frac
1445×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
837×add-cbrt-cube add-exp-log
561×cbrt-undiv div-exp
528×associate-/l*
523×associate-/r/
273×div-inv
152×prod-exp cbrt-unprod
141×frac-times associate-*l/ associate-*r/
97×tan-quot
15×associate-/r*
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
Counts
4 → 1807
Calls
4 calls:
Slowest
67.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
37.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
28.0ms
(/ (/ 2 (tan k)) (sin k))
20.0ms
(/ t (* (/ l t) (/ l t)))

series826.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
354.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
349.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
76.0ms
(/ (/ 2 (tan k)) (sin k))
47.0ms
(/ t (* (/ l t) (/ l t)))